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Clenshaw–Curtis quadrature

Known as: Clenshaw-Curtis integration, Fejér quadrature, Fejer quadrature 
Clenshaw–Curtis quadrature and Fejér quadrature are methods for numerical integration, or "quadrature", that are based on an expansion of the… Expand
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Related topics

Related topics

22 relations
Adaptive Simpson's methodAdaptive quadratureAliasingApproximation theory
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Stochastic Discrete Clenshaw-Curtis Quadrature
The partition function is fundamental for probabilistic graphical models--it is required for inference, parameter estimation, and… Expand
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2013
2013
Filon-Clenshaw-Curtis Rules for Highly Oscillatory Integrals with Algebraic Singularities and Stationary Points
In this paper we propose and analyze composite Filon--Clenshaw--Curtis quadrature rules for integrals of the form $I_{k}^{[a,b… Expand
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Highly Cited
2011
Highly Cited
2011
Adaptive sparse polynomial chaos expansion based on least angle regression
Polynomial chaos (PC) expansions are used in stochastic finite element analysis to represent the random model response by a set… Expand
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Highly Cited
2008
Highly Cited
2008
Is Gauss Quadrature Better than Clenshaw-Curtis?
We compare the convergence behavior of Gauss quadrature with that of its younger brother, Clenshaw-Curtis. Seven-line MATLAB… Expand
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Highly Cited
2006
Highly Cited
2006
Fast Construction of the Fejér and Clenshaw–Curtis Quadrature Rules
We present an elegant algorithm for stably and quickly generating the weights of Fejér’s quadrature rules and of the Clenshaw… Expand
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2005
2005
Clenshaw-Curtis quadrature with a weighting function
SummaryAn extension of the Clenshaw-Curtis quadrature method is described for integrals involving absolutely integrable weight… Expand
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1972
1972
Algorithm 424: Clenshaw-Curtis quadrature [D1]
Clenshaw-Curtis quadrature is one of the most effective automatic quadrature schemes available, particularly for integrands with… Expand
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Highly Cited
1972
Highly Cited
1972
Implementing Clenshaw-Curtis quadrature, I methodology and experience
Clenshaw-Curtis quadrature is a particularly important automatic quadrature scheme for a variety of reasons, especially the high… Expand
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Highly Cited
1972
Highly Cited
1972
Implementing Clenshaw-Curtis quadrature, II computing the cosine transformation
In a companion paper to this, “I Methodology and Experiences,” the automatic Clenshaw-Curtis quadrature scheme was described and… Expand
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1968
1968
Error Estimation in the Clenshaw-Curtis Quadrature Formula
Several error estimates for the Clenshaw-Curtis quadrature formula are compared. Amongst these is one which is not… Expand
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